Supergun makes Jamma easy, not really so much for JVS. Axun has a dual-capable supergun but that’s it.
But you don’t especially need a supergun. For a JVS system like that, you have to answer a few questions yourself.
Audio can go directly to an amp, it’s line level out of the rca connectors. What is outputting your sound, a tv? Speakers?
Video can go directly to a display, it’s already coming out the VGA port. What display are you using?
All that’s left is controls. What are you using, usb sticks? The complete answer is you need a JVS io connected to the 369. That JVS io could connect to your supergun, then to a USB adapter like undamned’s, then you’d hook up controls to that. It’s a lot of stuff connected to each other. Some folks build their own controls chain for jvs like this
https://forums.arcade-museum.com/threads/jvs-usb-control-box.486639/